211212211001101 has 2 divisors, whose sum is σ = 211212211001102. Its totient is φ = 211212211001100.

The previous prime is 211212211001059. The next prime is 211212211001147. The reversal of 211212211001101 is 101100112212112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204545745198601 + 6666465802500 = 14301949^2 + 2581950^2 .

It is a cyclic number.

It is not a de Polignac number, because 211212211001101 - 2¹⁵ = 211212210968333 is a prime.

It is a super-2 number, since 2×211212211001101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211212211004101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105606105500550 + 105606105500551.

It is an arithmetic number, because the mean of its divisors is an integer number (105606105500551).

Almost surely, 2^{211212211001101} is an apocalyptic number.

It is an amenable number.

211212211001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211212211001101 is an equidigital number, since it uses as much as digits as its factorization.

211212211001101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 211212211001101 its reverse (101100112212112), we get a palindrome (312312323213213).

The spelling of 211212211001101 in words is "two hundred eleven trillion, two hundred twelve billion, two hundred eleven million, one thousand, one hundred one".